Aljabar Linear Contoh

$[\begin{array}{c} 1 & 8 & 4 & 9.7 \\ 3 & 5 & 2 & 10.7 \\ 6 & 5 & 3 & 11.9 \\ 1 & 4 & 5 & 7.6 \\ 5 & 6 & 4 & 10.4 \end{array}] + [\begin{array}{c} 9 & 5 & 11 & 18.2 \\ 4 & 1 & 11 & 14.9 \\ 11 & 7 & 15 & 19.4 \\ 2 & 8 & 23 & 12.5 \\ 16 & 1 & 5 & 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 1

Tambahkan elemen yang seletak.

$[\begin{array}{c} 1 + 9 & 8 + 5 & 4 + 11 & 9.7 + 18.2 \\ 3 + 4 & 5 + 1 & 2 + 11 & 10.7 + 14.9 \\ 6 + 11 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2

Sederhanakan setiap elemen.

Ketuk untuk lebih banyak langkah...

Langkah 2.1

Tambahkan $1$ dan $9$ .

$[\begin{array}{c} 10 & 8 + 5 & 4 + 11 & 9.7 + 18.2 \\ 3 + 4 & 5 + 1 & 2 + 11 & 10.7 + 14.9 \\ 6 + 11 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2.2

Tambahkan $8$ dan $5$ .

$[\begin{array}{c} 10 & 13 & 4 + 11 & 9.7 + 18.2 \\ 3 + 4 & 5 + 1 & 2 + 11 & 10.7 + 14.9 \\ 6 + 11 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2.3

Tambahkan $4$ dan $11$ .

$[\begin{array}{c} 10 & 13 & 15 & 9.7 + 18.2 \\ 3 + 4 & 5 + 1 & 2 + 11 & 10.7 + 14.9 \\ 6 + 11 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2.4

Tambahkan $9.7$ dan $18.2$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 3 + 4 & 5 + 1 & 2 + 11 & 10.7 + 14.9 \\ 6 + 11 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2.5

Tambahkan $3$ dan $4$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 5 + 1 & 2 + 11 & 10.7 + 14.9 \\ 6 + 11 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2.6

Tambahkan $5$ dan $1$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 2 + 11 & 10.7 + 14.9 \\ 6 + 11 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2.7

Tambahkan $2$ dan $11$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 10.7 + 14.9 \\ 6 + 11 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2.8

Tambahkan $10.7$ dan $14.9$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 6 + 11 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2.9

Tambahkan $6$ dan $11$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2.10

Tambahkan $5$ dan $7$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2.11

Tambahkan $3$ dan $15$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2.12

Tambahkan $11.9$ dan $19.4$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 31.3 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2.13

Tambahkan $1$ dan $2$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 31.3 \\ 3 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2.14

Tambahkan $4$ dan $8$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 31.3 \\ 3 & 12 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2.15

Tambahkan $5$ dan $23$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 31.3 \\ 3 & 12 & 28 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2.16

Tambahkan $7.6$ dan $12.5$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 31.3 \\ 3 & 12 & 28 & 20.1 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2.17

Tambahkan $5$ dan $16$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 31.3 \\ 3 & 12 & 28 & 20.1 \\ 21 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2.18

Tambahkan $6$ dan $1$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 31.3 \\ 3 & 12 & 28 & 20.1 \\ 21 & 7 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2.19

Tambahkan $4$ dan $5$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 31.3 \\ 3 & 12 & 28 & 20.1 \\ 21 & 7 & 9 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 2.20

Tambahkan $10.4$ dan $17.1$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 31.3 \\ 3 & 12 & 28 & 20.1 \\ 21 & 7 & 9 & 27.5 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 3

Tambahkan elemen yang seletak.

$[\begin{array}{c} 10 + 8 & 13 + 6 & 15 + 18 & 27.9 + 17.9 \\ 7 + 7 & 6 + 1 & 13 + 14 & 25.6 + 16.5 \\ 17 + 6 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4

Sederhanakan setiap elemen.

Ketuk untuk lebih banyak langkah...

Langkah 4.1

Tambahkan $10$ dan $8$ .

$[\begin{array}{c} 18 & 13 + 6 & 15 + 18 & 27.9 + 17.9 \\ 7 + 7 & 6 + 1 & 13 + 14 & 25.6 + 16.5 \\ 17 + 6 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4.2

Tambahkan $13$ dan $6$ .

$[\begin{array}{c} 18 & 19 & 15 + 18 & 27.9 + 17.9 \\ 7 + 7 & 6 + 1 & 13 + 14 & 25.6 + 16.5 \\ 17 + 6 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4.3

Tambahkan $15$ dan $18$ .

$[\begin{array}{c} 18 & 19 & 33 & 27.9 + 17.9 \\ 7 + 7 & 6 + 1 & 13 + 14 & 25.6 + 16.5 \\ 17 + 6 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4.4

Tambahkan $27.9$ dan $17.9$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 7 + 7 & 6 + 1 & 13 + 14 & 25.6 + 16.5 \\ 17 + 6 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4.5

Tambahkan $7$ dan $7$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 6 + 1 & 13 + 14 & 25.6 + 16.5 \\ 17 + 6 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4.6

Tambahkan $6$ dan $1$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 13 + 14 & 25.6 + 16.5 \\ 17 + 6 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4.7

Tambahkan $13$ dan $14$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 25.6 + 16.5 \\ 17 + 6 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4.8

Tambahkan $25.6$ dan $16.5$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 17 + 6 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4.9

Tambahkan $17$ dan $6$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4.10

Tambahkan $12$ dan $3$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4.11

Tambahkan $18$ dan $21$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4.12

Tambahkan $31.3$ dan $18.2$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 49.5 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4.13

Tambahkan $3$ dan $1$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 49.5 \\ 4 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4.14

Tambahkan $12$ dan $7$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 49.5 \\ 4 & 19 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4.15

Tambahkan $28$ dan $17$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 49.5 \\ 4 & 19 & 45 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4.16

Tambahkan $20.1$ dan $10.8$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 49.5 \\ 4 & 19 & 45 & 30.9 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4.17

Tambahkan $21$ dan $8$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 49.5 \\ 4 & 19 & 45 & 30.9 \\ 29 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4.18

Tambahkan $7$ dan $2$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 49.5 \\ 4 & 19 & 45 & 30.9 \\ 29 & 9 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4.19

Tambahkan $9$ dan $18$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 49.5 \\ 4 & 19 & 45 & 30.9 \\ 29 & 9 & 27 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 4.20

Tambahkan $27.5$ dan $17.1$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 49.5 \\ 4 & 19 & 45 & 30.9 \\ 29 & 9 & 27 & 44.6 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 5

Tambahkan elemen yang seletak.

$[\begin{array}{c} 18 + 7 & 19 + 5 & 33 + 10 & 45.8 + 15 \\ 14 + 0 & 7 + 0 & 27 + 0 & 42.1 + 0 \\ 23 + 6 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6

Sederhanakan setiap elemen.

Ketuk untuk lebih banyak langkah...

Langkah 6.1

Tambahkan $18$ dan $7$ .

$[\begin{array}{c} 25 & 19 + 5 & 33 + 10 & 45.8 + 15 \\ 14 + 0 & 7 + 0 & 27 + 0 & 42.1 + 0 \\ 23 + 6 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6.2

Tambahkan $19$ dan $5$ .

$[\begin{array}{c} 25 & 24 & 33 + 10 & 45.8 + 15 \\ 14 + 0 & 7 + 0 & 27 + 0 & 42.1 + 0 \\ 23 + 6 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6.3

Tambahkan $33$ dan $10$ .

$[\begin{array}{c} 25 & 24 & 43 & 45.8 + 15 \\ 14 + 0 & 7 + 0 & 27 + 0 & 42.1 + 0 \\ 23 + 6 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6.4

Tambahkan $45.8$ dan $15$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 + 0 & 7 + 0 & 27 + 0 & 42.1 + 0 \\ 23 + 6 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6.5

Tambahkan $14$ dan $0$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 + 0 & 27 + 0 & 42.1 + 0 \\ 23 + 6 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6.6

Tambahkan $7$ dan $0$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 + 0 & 42.1 + 0 \\ 23 + 6 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6.7

Tambahkan $27$ dan $0$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 + 0 \\ 23 + 6 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6.8

Tambahkan $42.1$ dan $0$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 23 + 6 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6.9

Tambahkan $23$ dan $6$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6.10

Tambahkan $15$ dan $5$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6.11

Tambahkan $39$ dan $13$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6.12

Tambahkan $49.5$ dan $15.9$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 65.4 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6.13

Tambahkan $4$ dan $1$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 65.4 \\ 5 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6.14

Tambahkan $19$ dan $3$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 65.4 \\ 5 & 22 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6.15

Tambahkan $45$ dan $12$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 65.4 \\ 5 & 22 & 57 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6.16

Tambahkan $30.9$ dan $10.9$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 65.4 \\ 5 & 22 & 57 & 41.8 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6.17

Tambahkan $29$ dan $8$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 65.4 \\ 5 & 22 & 57 & 41.8 \\ 37 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6.18

Tambahkan $9$ dan $4$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 65.4 \\ 5 & 22 & 57 & 41.8 \\ 37 & 13 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6.19

Tambahkan $27$ dan $5$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 65.4 \\ 5 & 22 & 57 & 41.8 \\ 37 & 13 & 32 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 6.20

Tambahkan $44.6$ dan $13.9$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 65.4 \\ 5 & 22 & 57 & 41.8 \\ 37 & 13 & 32 & 58.5 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Langkah 7

Tambahkan elemen yang seletak.

$[\begin{array}{c} 25 + 4 & 24 + 4 & 43 + 9 & 60.8 + 12.4 \\ 14 + 3 & 7 + 1 & 27 + 9 & 42.1 + 12 \\ 29 + 9 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Langkah 8

Sederhanakan setiap elemen.

Ketuk untuk lebih banyak langkah...

Langkah 8.1

Tambahkan $25$ dan $4$ .

$[\begin{array}{c} 29 & 24 + 4 & 43 + 9 & 60.8 + 12.4 \\ 14 + 3 & 7 + 1 & 27 + 9 & 42.1 + 12 \\ 29 + 9 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Langkah 8.2

Tambahkan $24$ dan $4$ .

$[\begin{array}{c} 29 & 28 & 43 + 9 & 60.8 + 12.4 \\ 14 + 3 & 7 + 1 & 27 + 9 & 42.1 + 12 \\ 29 + 9 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Langkah 8.3

Tambahkan $43$ dan $9$ .

$[\begin{array}{c} 29 & 28 & 52 & 60.8 + 12.4 \\ 14 + 3 & 7 + 1 & 27 + 9 & 42.1 + 12 \\ 29 + 9 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Langkah 8.4

Tambahkan $60.8$ dan $12.4$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 14 + 3 & 7 + 1 & 27 + 9 & 42.1 + 12 \\ 29 + 9 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Langkah 8.5

Tambahkan $14$ dan $3$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 7 + 1 & 27 + 9 & 42.1 + 12 \\ 29 + 9 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Langkah 8.6

Tambahkan $7$ dan $1$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 27 + 9 & 42.1 + 12 \\ 29 + 9 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Langkah 8.7

Tambahkan $27$ dan $9$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 42.1 + 12 \\ 29 + 9 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Langkah 8.8

Tambahkan $42.1$ dan $12$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 29 + 9 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Langkah 8.9

Tambahkan $29$ dan $9$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Langkah 8.10

Tambahkan $20$ dan $5$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Langkah 8.11

Tambahkan $52$ dan $9$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Langkah 8.12

Tambahkan $65.4$ dan $13.2$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 78.6 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Langkah 8.13

Tambahkan $5$ dan $1$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 78.6 \\ 6 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Langkah 8.14

Tambahkan $22$ dan $4$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 78.6 \\ 6 & 26 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Langkah 8.15

Tambahkan $57$ dan $14$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 78.6 \\ 6 & 26 & 71 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Langkah 8.16

Tambahkan $41.8$ dan $8.9$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 78.6 \\ 6 & 26 & 71 & 50.7 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Langkah 8.17

Tambahkan $37$ dan $12$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 78.6 \\ 6 & 26 & 71 & 50.7 \\ 49 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Langkah 8.18

Tambahkan $13$ dan $2$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 78.6 \\ 6 & 26 & 71 & 50.7 \\ 49 & 15 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Langkah 8.19

Tambahkan $32$ dan $4$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 78.6 \\ 6 & 26 & 71 & 50.7 \\ 49 & 15 & 36 & 58.5 + 13.7 \end{array}]$

Langkah 8.20

Tambahkan $58.5$ dan $13.7$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 78.6 \\ 6 & 26 & 71 & 50.7 \\ 49 & 15 & 36 & 72.2 \end{array}]$